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20225430 = 2335173433
BaseRepresentation
bin100110100100…
…1110110010110
31102001120002000
41031021312112
520134203210
62001300130
7333625161
oct115116626
942046060
1020225430
1110464735
126934646
134261c14
142986ad8
151b97ac0
hex1349d96

20225430 has 64 divisors (see below), whose sum is σ = 54371520. Its totient is φ = 5349888.

The previous prime is 20225419. The next prime is 20225477. The reversal of 20225430 is 3452202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46494 + ... + 46926.

It is an arithmetic number, because the mean of its divisors is an integer number (849555).

Almost surely, 220225430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20225430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27185760).

20225430 is an abundant number, since it is smaller than the sum of its proper divisors (34146090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20225430 is a wasteful number, since it uses less digits than its factorization.

20225430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20225430 is about 4497.2691713972. The cubic root of 20225430 is about 272.4578056600.

Adding to 20225430 its reverse (3452202), we get a palindrome (23677632).

The spelling of 20225430 in words is "twenty million, two hundred twenty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 173 270 346 433 519 865 866 1038 1299 1557 1730 2165 2595 2598 3114 3897 4330 4671 5190 6495 7785 7794 9342 11691 12990 15570 19485 23355 23382 38970 46710 58455 74909 116910 149818 224727 374545 449454 674181 749090 1123635 1348362 2022543 2247270 3370905 4045086 6741810 10112715 20225430